A family of indecomposable rank-$n$ vector bundles on $\mathbb P^n\times\mathbb P^n$ in positive characteristics

Fuente: arXiv
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Main Authors: Ran, Ziv, Rathmann, Jürgen
Format: Preprint
Published: 2025
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author Ran, Ziv
Rathmann, Jürgen
author_facet Ran, Ziv
Rathmann, Jürgen
contents We construct a sequence of rank-$n$ indecomposable vector bundles on $\mathbb P^n\times\mathbb P^n$ for every $n\geq 2$ and in every positive characteristic that are not pullbacks via any map $\mathbb P^n\times\mathbb P^n\to \mathbb P^{m} $
format Preprint
id arxiv_https___arxiv_org_abs_2503_24339
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A family of indecomposable rank-$n$ vector bundles on $\mathbb P^n\times\mathbb P^n$ in positive characteristics
Ran, Ziv
Rathmann, Jürgen
Algebraic Geometry
14n05, 14j60
We construct a sequence of rank-$n$ indecomposable vector bundles on $\mathbb P^n\times\mathbb P^n$ for every $n\geq 2$ and in every positive characteristic that are not pullbacks via any map $\mathbb P^n\times\mathbb P^n\to \mathbb P^{m} $
title A family of indecomposable rank-$n$ vector bundles on $\mathbb P^n\times\mathbb P^n$ in positive characteristics
topic Algebraic Geometry
14n05, 14j60
url https://arxiv.org/abs/2503.24339